Sketch a graph of the reciprocal function shifted two units to the left and up three units. Identify the horizontal and vertical asymptotes of the graph, if any

Question

Sketch a graph of the reciprocal function shifted two units to the left and up three units.  Identify the horizontal and vertical asymptotes of the graph, if any

anonymous · Answer

So after transforming the function, it is  f(x) = 1/(x+2) + 3, or equivalently by giving the terms a common denim, f(x) = 3x+7/x+2

I don't understand how they got 3x+7/x+2 with the common denom

anonymous · Answer

Did they multiply the numerator by (x+2) + 3?

anonymous · Answer

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anonymous · Answer

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